cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A367079 E.g.f. satisfies A(x) = 1 + log(1 + x*A(x)^3).

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%I A367079 #40 Nov 07 2023 09:11:10
%S A367079 1,1,5,47,654,12084,278682,7708056,248678784,9168447600,380274659760,
%T A367079 17524760349216,888364833282000,49125202031205936,2942774373267939168,
%U A367079 189829708902667840320,13118899353628035596544,966975804677206274688000
%N A367079 E.g.f. satisfies A(x) = 1 + log(1 + x*A(x)^3).
%C A367079 a(131) is negative. - _Vaclav Kotesovec_, Nov 07 2023
%H A367079 Vaclav Kotesovec, <a href="/A367079/b367079.txt">Table of n, a(n) for n = 0..358</a>
%F A367079 a(n) = (3*n)! * Sum_{k=0..n} Stirling1(n,k)/(3*n-k+1)!.
%t A367079 Table[(3*n)! * Sum[StirlingS1[n,k]/(3*n-k+1)!, {k,0,n}], {n,0,20}] (* _Vaclav Kotesovec_, Nov 07 2023 *)
%o A367079 (PARI) a(n) = (3*n)!*sum(k=0, n, stirling(n, k, 1)/(3*n-k+1)!);
%Y A367079 Cf. A185221, A367078.
%Y A367079 Cf. A367152, A367154.
%K A367079 new,sign
%O A367079 0,3
%A A367079 _Seiichi Manyama_, Nov 07 2023